On a condition for type-I Bose-Einstein condensation in random potentials in $d$ dimensions

Autor:	Kerner, Joachim, Pechmann, Maximilian, Spitzer, Wolfgang
Rok vydání:	2019
Předmět:	Mathematical Physics Quantum Physics
Zdroj:	Journal de Math. Pures et Appli. (2020)
Druh dokumentu:	Working Paper
DOI:	10.1016/j.matpur.2020.07.006
Popis:	In this paper we discuss Bose-Einstein condensation (BEC) in systems of pairwise non-interacting bosons in random potentials in $d$ dimensions. Working in a rather general framework, we provide a "gap condition" which is sufficient to conclude existence of type-I BEC in probability and in the $r$th mean. We illustrate our results in the context of the well-known (one-dimensional) Luttinger-Sy model. Here, whenever the particle density exceeds a critical value, we show in addition that only the ground state is macroscopically occupied. Comment: 26 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1911.03200 Zobrazit plný text záznamu View this record from Arxiv